One angle of a triangle is 90° If the ratio of the legs is 1:1 what are the measures measures( in degrees )of the two remaining angles?

Answer 1

Since one angle of the triangle is 90°, and the ratio of the legs is 1:1, we can conclude that the two remaining angles are equal. Let's denote the measure of each of these angles as x.

Since the sum of the angles in a triangle is 180°, we can set up the equation:

90° + x + x = 180°

Simplifying the equation:

90° + 2x = 180°

Subtracting 90° from both sides:

2x = 90°

Dividing both sides by 2:

x = 45°

Therefore, the measures of the two remaining angles are both equal to 45°.